equal
deleted
inserted
replaced
318 |
318 |
319 For $A_\infty$ $n$-categories, we replace |
319 For $A_\infty$ $n$-categories, we replace |
320 isotopy invariance with the requirement that families of homeomorphisms act. |
320 isotopy invariance with the requirement that families of homeomorphisms act. |
321 For the moment, assume that our $n$-morphisms are enriched over chain complexes. |
321 For the moment, assume that our $n$-morphisms are enriched over chain complexes. |
322 |
322 |
323 \xxpar{Families of homeomorphisms act.} |
323 \xxpar{Families of homeomorphisms act in dimension $n$.} |
324 {For each $n$-ball $X$ and each $c\in \cC(\bd X)$ we have a map of chain complexes |
324 {For each $n$-ball $X$ and each $c\in \cC(\bd X)$ we have a map of chain complexes |
325 \[ |
325 \[ |
326 C_*(\Homeo_\bd(X))\ot \cC(X; c) \to \cC(X; c) . |
326 C_*(\Homeo_\bd(X))\ot \cC(X; c) \to \cC(X; c) . |
327 \] |
327 \] |
328 Here $C_*$ means singular chains and $\Homeo_\bd(X)$ is the space of homeomorphisms of $X$ |
328 Here $C_*$ means singular chains and $\Homeo_\bd(X)$ is the space of homeomorphisms of $X$ |